You should be able to put a digital thermometer/hygrometer in the cage with a minimum of disturbance, and same for a second hide in addition to the one he has now. Don't take away the one he has though, leave it where it is. It's harder to settle in when the environment keeps changing.
You can also make a too-big hide feel cozier by stuffing a paper towel in it take up some space.
The one thing though is that you need to have a thermostat on the heat mat. If you don't have one, unplug the heater until you do. They can overheat and cause burns if they aren't regulated. It's worth disturbing your snake for that.